1.

If the non-zero vectors a and b are perpendicular to each other, then the solution of the equation \[\mathbf{r}\times \mathbf{a}=\mathbf{b}\] is given by

A.   \[\mathbf{r}=x\mathbf{a}+\frac{1}{\mathbf{a}\,.\,\,\mathbf{a}}(\mathbf{a}\times \mathbf{b})\]
B.   \[\mathbf{r}=x\mathbf{b}-\frac{1}{\mathbf{b}\,.\,\,\mathbf{b}}(\mathbf{a}\times \mathbf{b})\]
C.   \[\mathbf{r}=x\mathbf{a}\times \mathbf{b}\]
D.   \[\mathbf{r}=x\mathbf{b}\times \mathbf{a}\]
Answer» B.   \[\mathbf{r}=x\mathbf{b}-\frac{1}{\mathbf{b}\,.\,\,\mathbf{b}}(\mathbf{a}\times \mathbf{b})\]


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